denote the trivial motions associated to a distance framework [1]}. That is, \(1_N \otimes I_3\)  represents translations of the entire framework, and \(\mathcal {L}^{\circlearrowright }_{\mathbb {R}^3}(\mathcal {G})\)  is the rotational subspace induced by the graph \(\mathcal {G}\)  in \(\mathbb {R}^3\) , i.e.,
\(\mathcal {L}^{\circlearrowright }_{\mathbb {R}^3}(\mathcal {G}) = \mathrm {span}\left\lbrace \left( I_N \otimes S(\mathbf {e}_{h})\right)p_\mathcal {G}, h=1,2,3\right\rbrace .\) 
